Consider the Following Discrete Probability Distributions of Payoffs for 3

question 84

Multiple Choice

Consider the following discrete probability distributions of payoffs for 3 securities that are held in a DI's trading portfolio (payoff amounts shown are in $millions) : $$\begin{array} { | l | l | l | } \hline \text { SECURITY } & \text { PROBABILITY } & \text { PAYOFF } \\\hline \text { Alpha } & 0.50 & 355 \\\hline & 0.49 & 150 \\\hline & 0.01 & - 300 \\\hline\end{array}$$ $$\begin{array} { | l | l | l | } \hline \text { SECURITY } & \text { PROBABILITY } & \text { PAYOFF } \\\hline \text { Beta } & 0.50 & 400 \\\hline & 0.49 & 150 \\\hline & 0.0025 & - 300 \\\hline & 0.0075 & - 3,300 \\\hline\end{array}$$ $$\begin{array} { | l | l | l | } \hline \text { SECURITY } & \text { PROBABILITY } & \text { PAYOFF } \\\hline \text { Gamma } & 0.49 & 400 \\\hline & 0.49 & 150 \\\hline & 0.01 & - 150 \\\hline & 0.01 & - 2.000 \\\hline\end{array}$$ What is the expected shortfall (ES) of securities Alpha and Beta at the 99 percent confidence level, respectively (in millions) ?

• A)?$300 and ?$3,300
• B)?$3 and ?$24.75
• C)?$3 and ?$25.50
• D)?$300 and ?$300
• E)?$ and ?$0.75.

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Definitions:

Analysis of Variance

A statistical method used to compare the means of three or more samples to see if at least one is significantly different from the others.

Path Analysis

A statistical technique used in social science to study the direct and indirect relationships between variables in a model.

Dependent Variable

In an experiment or study, the variable being tested and measured, expected to change as a result of variations in the independent variable.